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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation {16000x/1.13*0.13+[(100-1.28x)*10000/0.91*0.09]-95400}/(16000x/1.13) = 0.025 .
    Question type: Equation
    Solution:Original question:
     (16000 x ÷
113
100
×
13
100
+ ((100
32
25
x ) × 10000 ÷
91
100
×
9
100
)95400) ÷ (16000 x ÷
113
100
) =
1
40
     Multiply both sides of the equation by:(16000 x ÷
113
100
)
     (16000 x ÷
113
100
×
13
100
+ ((100
32
25
x ) × 10000 ÷
91
100
×
9
100
)95400) =
1
40
(16000 x ÷
113
100
)
    Remove a bracket on the left of the equation::
     16000 x ÷
113
100
×
13
100
+ ((100
32
25
x ) × 10000 ÷
91
100
×
9
100
)95400 =
1
40
(16000 x ÷
113
100
)
    Remove a bracket on the right of the equation::
     16000 x ÷
113
100
×
13
100
+ ((100
32
25
x ) × 10000 ÷
91
100
×
9
100
)95400 =
1
40
× 16000 x ÷
113
100
    The equation is reduced to :
     
208000
113
x + ((100
32
25
x ) × 10000 ÷
91
100
×
9
100
)95400 =
40000
113
x
    Remove a bracket on the left of the equation:
     
208000
113
x + (100
32
25
x ) × 10000 ÷
91
100
×
9
100
95400 =
40000
113
x
    The equation is reduced to :
     
208000
113
x + (100
32
25
x ) ×
90000
91
95400 =
40000
113
x
    Remove a bracket on the left of the equation:
     
208000
113
x + 100 ×
90000
91
32
25
x ×
90000
91
95400 =
40000
113
x
    The equation is reduced to :
     
208000
113
x +
9000000
91
115200
91
x 95400 =
40000
113
x
    The equation is reduced to :
     
5910400
10283
x +
318600
91
=
40000
113
x

    Transposition :
     
5910400
10283
x
40000
113
x = -
318600
91

    Combine the items on the left of the equation:
     
2270400
10283
x = -
318600
91

    The coefficient of the unknown number is reduced to 1 :
      x = -
318600
91
÷
2270400
10283
        = -
318600
91
×
10283
2270400
        = - 531 ×
113
3784

    We obtained :
      x = -
60003
3784
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 15.85703



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